How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many

We are given the function to differentiate:

[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]

Do take natural log on both sides, then we will be having

[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]

[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]

Now, differentiate both sides by using so called chain rule and the product rule

[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]

Hence, Option B) is correct

Product rule of differentiation:

Where, u and v are functions of x

Answer:

the mean is 12.83333333333 ans so many more 3's

the median is 14 because the two middle numbers are 13+15=28 and divided by 2 is 14

Step-by-step explanation:

if it is right, please can i have the brainliest

Answer:

27

Step-by-step explanation:

Based on the given conditions, formulate: 54×13÷26 

Cross out the common factor:54/2

Cross out the common factor:27

Get the result:27

Answer: 27

Answer: C

Step-by-step explanation: The answer is C because unbending suing distributive property, the equation becomes (7 x 2) + (7 x 3). Solving for these parentheses, the equation becomes 14 + 21. I hope this helps!

Answer:

y=x-5

Step-by-step explanation:

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

Answer:

ok i ned time

Step-by-step explanation:

Answer:

4 and -1

Step-by-step explanation:

Roots are the X values of the quadratic equation, or where it crosses the x axis

Answer:

a, f

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

See explanation below

An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the cubes of a polynomial expression can be written as,

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

Therefore, we need to find the polynomial expression which looks similar to the above expression,

[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]

Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

(6 + s)(s2 – 6s + 36)

Step-by-step explanation:

2022

Answer:

it is NOT d

Step-by-step explanation:

I did it and got it wrong

NOT D

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

The given polynomial is:

[tex]2 + 7c - 4c^2 - 3c + 4[/tex]

Simplifying it gives:

[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]

Writing it in the order of increasing to decreasing powers:

[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]

Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)

Answer:

D

Step-by-step explanation:

Thanks

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

Read more about stem and leaf plot at:

https://brainly.com/question/12276901

Answer: A

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(2,\:-3\right)[/tex]

[tex]m=\frac{-3-5}{2-\left(-4\right)}[/tex]

[tex]\bold{m=-\frac{4}{3}}[/tex]

Answer:

A) -4/3

Step-by-step explanation:

The formula for the slope of a line is  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plugging in the given values, we have:

[tex]\frac{-3-5}{2-(-4)}[/tex]

Solving:

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6}[/tex]

[tex]-\frac{4}{3}[/tex]

hope this helps!

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

Learn more about equations here:
brainly.com/question/26229877

Answer:

1/81

Step-by-step explanation:

9 to the power of 7 is 4782969

and 9 to the power of 9 it 387420489

and when u divide it u get 1/81 I beleve

Answer:

1/81 or 0.01 that is rounded to the nearest hundredth

Step-by-step explanation:

Your welcome

Answer: =

Step-by-step explanation: 54 =54

3/100 ×150=54

2/100 ×200=54

Answer: Find details in the picture. The answer is 4.9

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

Answer:

[tex]1\frac{7}{8}inches[/tex]

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]

Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

Step-by-step explanation:

Number of students in class = 90

ratio of boys and girls = 4:5

sum of ratios = 9

Number of boys = 4/9 × 90

= 360/9

= 40

Number of girls = 5/9 × 90

= 450/9

= 50

Hope it helpz~

Answer: Thanks! Same to you, hope you have a good life.

Step-by-step explanation:

You too, I guess! Thanks for the points.

Answer:

145°

Step-by-step explanation:

based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times